Large time behavior to a chemotaxis–consumption model with singular sensitivity and logistic source
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DOI: 10.1002/mma.6971
Abstract: This paper studies the chemotaxis–consumption model with singular sensitivity and logistic source ut=△u−χ∇·f(u)v∇v+κu−μu2x∈Ω,t>0,vt=ϵ△v−g(u)v,x∈Ω,t>0, under homogenous Neumann boundary condition in a smooth bounded domain Ω⊂ℝn(n≥2) , with positive parameters χ, ϵ, μ, and f(u) ≃ uα, g(u) ≃ uβ for α∈ℝ and… read more here.
Keywords: sensitivity logistic; consumption model; model singular; singular sensitivity ... See more keywords
Spiky Steady States of a Chemotaxis System with Singular Sensitivity
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-017-9621-3
Abstract: This paper is concerned with the steady state problem of a chemotaxis model with singular sensitivity function in a one dimensional spatial domain. Using the chemotactic coefficient $$\chi $$χ as the bifurcation parameter, we perform… read more here.
Keywords: states chemotaxis; singular sensitivity; steady states; chemotaxis system ... See more keywords
Boundedness and asymptotic behavior to a chemotaxis-fluid system with singular sensitivity and logistic source
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.123748
Abstract: Abstract In this paper, we consider the following chemotaxis-fluid model with singular sensitivity and logistic source { n t + u ⋅ ∇ n = Δ n − χ ∇ ⋅ ( n c ∇… read more here.
Keywords: chemotaxis fluid; sensitivity logistic; singular sensitivity; logistic source ... See more keywords
The role of the mixed-quadratic damping in the construction of solutions to chemotaxis system with singular sensitivity
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DOI: 10.1063/5.0230608
Abstract: A chemotaxis system with singular sensitivity for criminal activities is considered over a smoothly bounded domain Ω⊂Rn with n ≥ 3: ut=Δu−χ∇⋅uv∇v−κuv+h1, vt = Δv − v + u + h2, where hi, i =… read more here.
Keywords: quadratic damping; chemotaxis system; mixed quadratic; singular sensitivity ... See more keywords
Global existence to a chemotaxis-consumption model with nonlinear diffusion and singular sensitivity
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DOI: 10.1080/00036811.2018.1478083
Abstract: ABSTRACT This paper deals with the chemotaxis-consumption model with singular sensitivity and nonlinear diffusion under the homogenous Neumann boundary condition in a smooth-bounded domain , with positive parameters and , , for , m>1 and… read more here.
Keywords: consumption model; singular sensitivity; nonlinear diffusion; chemotaxis consumption ... See more keywords
Stabilization in two-species chemotaxis systems with singular sensitivity and Lotka-Volterra competitive kinetics
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DOI: 10.3934/dcds.2023130
Abstract: The current paper is concerned with the stabilization in the following parabolic-parabolic-elliptic chemotaxis system with singular sensitivity and Lotka-Volterra competitive kinetics, \begin{equation} \begin{cases} u_t=\Delta u-\chi_1 \nabla\cdot (\frac{u}{w} \nabla w)+u(a_1-b_1u-c_1v) ,\quad&x\in \Omega\cr v_t=\Delta v-\chi_2 \nabla\cdot (\frac{v}{w}… read more here.
Keywords: quad; chi; cdot; singular sensitivity ... See more keywords